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Finding the Fourth Proportional to 13,485.87, 20,230.02 and 6,469.20

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Solution

The fourth proportional to 13,485.87, 20,230.02 and 6,469.20 is: 9,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.87 : 20,230.02 = 6,469.20 : x
  2. Step 2: Convert to fraction form
    13,485.87/20,230.02 = 6,469.20/x
  3. Step 3: Cross multiply
    13,485.87x = 20,230.02 × 6,469.20
  4. Step 4: Simplify right side
    13,485.87x = 130,872,045.38
  5. Step 5: Solve for x
    x = 130,872,045.38/13,485.87
  6. Step 6: Final answer
    x = 9,704.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.